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Finding the Fourth Proportional to 681.24, 940.16 and 378.51

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Solution

The fourth proportional to 681.24, 940.16 and 378.51 is: 522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.24 : 940.16 = 378.51 : x
  2. Step 2: Convert to fraction form
    681.24/940.16 = 378.51/x
  3. Step 3: Cross multiply
    681.24x = 940.16 × 378.51
  4. Step 4: Simplify right side
    681.24x = 355,859.96
  5. Step 5: Solve for x
    x = 355,859.96/681.24
  6. Step 6: Final answer
    x = 522.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.